Mark 5HD, NF NXS or NX8. You'll have more scope then you need and can do everything you want with room to learn. All can be had used or new if your leo/mil in your price range.
You behave! That's why I asked for an actual budget.Here I come with my suggestions....
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That Burris Signature 3-15x44 should get you going pretty well for the price and distance you want…if you can swallow "made in China ".So I agree with two of the above. As someone who every year takes people looking for exactly what you want to the goal line. I can say I totally disagree with the leupold comment. They are not for me. Vortex is a best entry level scope out as far as cost to scope in the low end.
I also agree with nightforce. The shv model is very tough to beat for the price. That being said. I have been a huge fan of the Burris 3-15 as mentioned above. Have several people now that will never push beyond the 500-600 yard range with most in the under 300 camp.
That scope is great probably the best overall bang for your buck scope I've dealt with in a while.